If the coefficient of static friction between the track shoe and the track is 0.

Question

If the coefficient of static friction
between the track shoe and the track is 0.80, and the sprinter exerts a vertical force of 2000
N downward on the track, what is the maximum horizontal force he can generate under his shoe?

Assume that the sprinter’s track shoe does not have a spiked sole; the coefficient of dynamic
friction between the shoe and track is 0.75, and the shoe is not slipping on the track’s surface.

1.) What equation is most appropriate for solving the problem?

2.) Other factors noted being equal, which of the following changes would act to
decrease the maximum horizontal force that the sprinter can generate under his shoe?
a. ___ T ___ F: The coefficient of static friction between the shoe and track is 0.85
b. ___ T ___ F: The sprinter exerts a vertical force of 1900 N downward on the track
c. ___ T ___ F: The sprinter’s shoe begins to slip across the track’s surface

Explanation / Answer

a) the maximum horizontal force = u*N

= 0.8*2000 = 1600 N

2) false . this would increase the horizontal force

false. as this would also increase the horizontal force as Ff = u*N where N is the vertical force

true

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